The dimensions of (a)/(b)in the equation P= (a^(2)-t^(2))/(bx)where P ispressure,x is distance and t is time are

The dimensions of (a)/(b)in the equation P= (a^(2)-t^(2))/(bx)where P

1.	The dimensions of (a)/(b)in the equation P= (a^(2)-t^(2))/(bx)where P ispressure,x is distance and t is time are
Answer» `[M^(2)LT^(-3)]` `[ML^(0)T^(-2)]` `[ML^(3)T^(-1)]` `[M^(0)LT^(-3)]` Solution :`pP= (a-t^(2))/(bx)` DIMENSIONS of `a= [T^(2)]` as `t^(2)` is subtracted from a. From `P=(a-t^(2))/(bx)= (t^(2))/(bx)` `:. [b]= ([t^(2)])/([Px])= ([T^(2)])/([ML^(-1)T^(-2)][L])= [M^(-1)L^(0)T^(4)]` `:. [(a)/(b)]= ([T^(2)])/([M^(-1)L^(0)T^(4)])= [ML^(0)T^(-2)]`